Quark and gluon contributions to the QCD trace anomaly

  • Yoshitaka HattaEmail author
  • Abha Rajan
  • Kazuhiro Tanaka
Open Access
Regular Article - Theoretical Physics


We show that, in dimensional regularization in the minimal subtraction scheme, the QCD trace anomaly can be unambiguously decomposed into two parts coming from the renormalized quark and gluon energy momentum tensors. We carry out this decomposition at the two-loop level. The result can be used to constrain the renormalization group properties of the nucleon’s twist-four gravitational form factor \( {\overline{C}}_{q,g} \).


Anomalies in Field and String Theories Renormalization Group 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Yoshitaka Hatta
    • 1
    • 2
    Email author
  • Abha Rajan
    • 1
  • Kazuhiro Tanaka
    • 3
    • 4
  1. 1.Physics Department, Brookhaven National LaboratoryUptonU.S.A.
  2. 2.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  3. 3.Department of PhysicsJuntendo UniversityInzaiJapan
  4. 4.J-PARC Branch, KEK Theory Center, Institute of Particle and Nuclear Studies, KEKTokaiJapan

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